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Finding the Fourth Proportional to 469,894.14, 704,841.21 and 114,903.95

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Solution

The fourth proportional to 469,894.14, 704,841.21 and 114,903.95 is: 172,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,894.14 : 704,841.21 = 114,903.95 : x
  2. Step 2: Convert to fraction form
    469,894.14/704,841.21 = 114,903.95/x
  3. Step 3: Cross multiply
    469,894.14x = 704,841.21 × 114,903.95
  4. Step 4: Simplify right side
    469,894.14x = 80,989,035,627.57
  5. Step 5: Solve for x
    x = 80,989,035,627.57/469,894.14
  6. Step 6: Final answer
    x = 172,355.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.